Finite element algorithms for contact problems
- 1 December 1995
- journal article
- Published by Springer Science and Business Media LLC in Archives of Computational Methods in Engineering
- Vol. 2 (4), 1-49
- https://doi.org/10.1007/bf02736195
Abstract
The numerical treatment of contact problems involves the formulation of the geometry, the statement of interface laws, the variational formulation and the development of algorithms. In this paper we give an overview with regard to the different topics which are involved when contact problems have to be simulated. To be most general we will derive a geometrical model for contact which is valid for large deformations. Furthermore interface laws will be discussed for the normal and tangential stress components in the contact area. Different variational formulations can be applied to treat the variational inequalities due to contact. Several of these different techniques will be presented. Furthermore the discretization of a contact problem in time and space is of great importance and has to be chosen with regard to the nature of the contact problem. Thus the standard discretization schemes will be discussed as well as techiques to search for contact in case of large deformations.Keywords
This publication has 60 references indexed in Scilit:
- Thermomechanical contact—a rigorous but simple numerical approachComputers & Structures, 1993
- An augmented lagrangian treatment of contact problems involving frictionComputers & Structures, 1992
- Finite element formulation of large deformation impact-contact problems with frictionComputers & Structures, 1990
- A contact searching algorithm for general contact problemsComputers & Structures, 1989
- The return mapping method for the integration of friction constitutive relationsComputers & Structures, 1989
- Friction—The Present State of Our UnderstandingJournal of Lubrication Technology, 1981
- Analysis of contact through finite element gapsComputers & Structures, 1979
- Finite element solution of surface nonlinearities in structural mechanics with special emphasis to contact and fracture mechanics problemsComputers & Structures, 1976
- Thermal contact conductanceInternational Journal of Heat and Mass Transfer, 1969
- Ueber die Berührung fester elastischer Körper.Journal für die reine und angewandte Mathematik (Crelles Journal), 1882